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Communication

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8 Pages

Exact Solutions, Critical Parameters and Accidental Degeneracy for the Hydrogen Atom in a Spherical Box

Francisco M. Fernández

Physics2025, 7(4), 48;https://doi.org/10.3390/physics7040048

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15 October 2025

This paper for the first time derives some properties of the hydrogen atom inside a box with an impenetrable wall. Scaling of the Hamiltonian operator proves to be practical for the derivation of some general properties of the eigenvalues. The radial...

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17 Pages

Unified Algorithm of Factorization Method for Derivation of Exact Solutions from Schrödinger Equation with Potentials Constructed from a Set of Functions

Raoul R. Nigmatullin and
Airat A. Khamzin

Mathematics2023, 11(18), 3822;https://doi.org/10.3390/math11183822

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6 September 2023

We extend the scope of the unified factorization method to the solution of conditionally and unconditionally exactly solvable models of quantum mechanics, proposed in a previous paper [R.R. Nigmatullin, A.A. Khamzin, D. Baleanu, Results in Physics 41...

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